Stochastic Flow and Transport in Heterogeneous Soils: Nonstationarity, Scale Interaction, and an Efficient Modeling Framework

本研究的目的是发展一种新的随机模拟方法，可以用来描述实际条件下非均质场地的三维地下水流动和污染物运移。这项研究特别关注能够适应非平稳水文和地质条件的表征工具的设计。到目前为止，随机方法还没有发展到可以常规用于解决地下水污染问题的地步，因为目前的方法要么需要过多的计算能力，要么对必须做出的假设限制太多。这项研究将对PI最近发展的非平稳谱方法进行推广、重新表述和推广，并为其数值实现提供一种新的途径。新建模方法的有效性将通过对适当的现场应用以及与现有确定性和随机模型以及大规模数值模拟的系统比较来说明。

The objective of this research is to develop a new stochastic modeling approach that can be used to characterize three-dimensional groundwater flow and contaminate transport at heterogeneous sites under realistic field conditions. The research is particularly concerned with the design of a characterization tool that can adapt to nonstationary hydrological and geological conditions. So far, stochastic methods have not been developed to the point at which they can be routinely used for solving groundwater contamination problems because current methods either require excessive computational power or they are too restrictive in the assumptions that must be made. This research will extend, reformulate and generalize the nonstationary spectral method recently developed by the PI and present a novel way for its numerical implementation. The effectiveness of the new modeling approach will be illustrated with an application to an appropriate field site and systematic comparison with existing deterministic and stochastic models and large-scale numerical simulations.